The shallow water equations are a commonly accepted approximation governing tsunami propagation. Numerically capturing certain features of local tsunami inundation requires solving these equations in their physically ...

We consider a model for dusty gas flow that consists of the compressible Euler equations for the gas coupled to a similar (but pressureless) system of equations for the mass, momentum, and energy of the dust. These sets ...

We develop a second-order rotated grid
method for the approximation of time dependent solutions of conservation laws in complex
geometry using an underlying Cartesian grid. Stability for time steps adequate for the ...